if a translation of (x, y) → (x + 6, y - 10) is applied to figure abcd, what are the coordinates of d? (-5…

if a translation of (x, y) → (x + 6, y - 10) is applied to figure abcd, what are the coordinates of d? (-5, -2) (1, -12) (4, -15) (-9, -6)

if a translation of (x, y) → (x + 6, y - 10) is applied to figure abcd, what are the coordinates of d? (-5, -2) (1, -12) (4, -15) (-9, -6)

Answer

Explanation:

Step1: Identify the original coordinates of D

From the graph, the coordinates of point D are (-5, -2).

Step2: Apply the translation rule

The translation rule is ((x,y)\to(x + 6,y-10)). For point D with (x=-5) and (y = - 2), the new (x)-coordinate is (x'=-5 + 6=1), and the new (y)-coordinate is (y'=-2-10=-12).

Answer:

(1, -12)